Finding the Third Proportional to 17,684.25 and 38,478.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,684.25 : 38,478.75 = 38,478.75 : x
2. Step 2: Convert to fraction form
   17,684.25/38,478.75 = 38,478.75/x
3. Step 3: Cross multiply
   17,684.25x = 38,478.75 × 38,478.75
4. Step 4: Simplify right side
   17,684.25x = 1,480,614,201.56
5. Step 5: Solve for x
   x = 1,480,614,201.56/17,684.25
6. Step 6: Final answer
   x = 83,725.02